Suppose X is a random variable defined as final cost of project X = estimated cost of project which has a PDF as follows: x<1 fx (x)={3/x² 1sxsa x>a a. Determine the value of a. b. What is the probability that the final cost of a project will exceed its estimated cost by 25%? c. Determine the mean value and standard deviation of X.
Suppose X is a random variable defined as final cost of project X = estimated cost of project which has a PDF as follows: x<1 fx (x)={3/x² 1sxsa x>a a. Determine the value of a. b. What is the probability that the final cost of a project will exceed its estimated cost by 25%? c. Determine the mean value and standard deviation of X.
Chapter2: Loads On Structures
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
Transcribed Image Text:Suppose X is a random variable defined as
final cost of project
X =
estimated cost of project
which has a PDF as follows:
[0
x<1
fx (x) ={3/x² 1sxsa
x> a
a. Determine the value of a.
b. What is the probability that the final cost of a project will exceed its estimated cost by 25%?
c. Determine the mean value and standard deviation of X.
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